Let's remember the slope-intercept form of a line:
[tex]y=mx+b[/tex]in which m is the slope and b is the point at which it intercepts the y-axis.
Now, let's make it so the equation we were given is in this form:
[tex]c\cdot x+d\cdot y-b=3[/tex][tex]d\cdot y=3+b-c\cdot x[/tex][tex]y=-\frac{c}{d}\cdot x+\frac{3+b}{d}[/tex]With this we can see that the slope of the given line is -c/d.
